F(x)=3x+1 (preimage)
g(x)=x+1 (image)
it is undergoing a reduction/compression with translation.
In general, a linear transformation is
g(x) = a*f(bx-h)+k
h=horizontal translation (right if h>0, left if h<0, note formula has minus sign)
k=vertical translation (up if k>0, down if k<0)
a=vertical stretching, (stretching if |a|>1, compression if |a|<1, also, if a<0, a reflection across the x-axis is performed)
b=horizontal stretching (|b|>0 compression, |b|<0 stretching, also, if b<0, a reflection across the y-axis is performed)
In this case,
g(x)=f(x/3), so it is a horizontal stretching.
Note that the y-intercept remains unchanged.
Answer:
b)480 cm^2
Step-by-step explanation:
perimeter=(16+12+20) cm
=48 cm
lateral surface area= perimeter × height
=48×10 =480 cm^2
Do you know the answers to 8.4 quiz?
X is equal 3. to do this, you do reverse of order of operations. So this means that you would to the 'times 2' first by dividing 4 by 2 to make it 2. then, in the parenthesis, since there is a 'minus 1', therefore you are going to add 1+2 which equals three. <span />
Answer:
I will assume that the end of the top section if it were cut at 0 degrees would be cut at right angles to the length of the section.
Joining a top section with a 37 degree end angle to a side piece with a 50 degree end angle will result in the length of the side piece being at an angle of
37 + 50 = 87 degrees to each other.
The same will be true for the other side.
If the sides were parallel, then going up one side, across the top and then down the other side will result in a change of direction of 180 degrees. However, in this frame the direction turns 87 degrees at the first top corner and another 87 degrees at the second top corner. This is a total of
87 + 87 = 174 degrees instead of 180 degrees.
The two sides diverge at an angle of
180 - 174 = 6 degrees from each other as they extend downwards from the top of the frame
Step-by-step explanation: